Use a Graphing Utility to Graph the Conic $$\theta$$ Through Which the Axes Are Rotated

question 39

Multiple Choice

Use a graphing utility to graph the conic.Determine the angle $$\theta$$ through which the axes are rotated.​ $x ^ { 2 } + 2 x y + y ^ { 2 } = 25$ ​

• A) \(\theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }\) , \(y = - x \pm \sqrt { 25 }\)
• B) \(\theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }\) , \(y = - x \pm \sqrt { 25 }\)
• C) \(\theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }\) , \(y = - x \pm \sqrt { 25 }\)
• D) \(\theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }\) , \(y = - x \pm \sqrt { 25 }\)
• E) \(\theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }\) , \(y = - x \pm \sqrt { 25 }\)

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Definitions:

Deception

The act of misleading or lying to others, often to gain an advantage or hide the truth.

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The postexperimental explanation of a study, including its purpose and any deceptions, to its participants.

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Individuals who take part in a research study, often providing data through their responses, behavior, or biological samples.

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The process of actively analyzing, synthesizing, and evaluating information to reach conclusions, make decisions, or solve problems.